density_2d_truncated

jeanspy.model.Uniform2dModel.density_2d_truncated

Class and construction: Uniform2dModel.

Uniform2dModel.density_2d_truncated(R_pc, R_trunc_pc)

Return the normalized 2-D density truncated at R_trunc_pc.

The normalization satisfies

\[\int_0^{R_\mathrm{trunc}} 2\pi R\,\Sigma_\mathrm{trunc}(R)\,dR = 1.\]

Notes

Inputs and units. R_pc is a nonnegative finite scalar/array in pc; R_trunc_pc is a positive finite scalar cutoff in pc.

Returns and shape. Normalized surface density in pc^-2 with radius shape, zero for R>``R_trunc_pc``.

Validity. Requires a concrete density_2d and cdf_R with positive CDF at the cutoff.